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Simplifying 6v + 9 = 3(v + 8) Reorder the terms: 9 + 6v = 3(v + 8) Reorder the terms: 9 + 6v = 3(8 + v) 9 + 6v = (8 * 3 + v * 3) 9 + 6v = (24 + 3v) Solving 9 + 6v = 24 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 9 + 6v + -3v = 24 + 3v + -3v Combine like terms: 6v + -3v = 3v 9 + 3v = 24 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + 3v = 24 + 0 9 + 3v = 24 Add '-9' to each side of the equation. 9 + -9 + 3v = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 24 + -9 3v = 24 + -9 Combine like terms: 24 + -9 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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